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Finding the Third Proportional to 347,056.50 and 703,773

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Solution

The third proportional to 347,056.50 and 703,773 is: 1,427,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,056.50 : 703,773 = 703,773 : x
  2. Step 2: Convert to fraction form
    347,056.50/703,773 = 703,773/x
  3. Step 3: Cross multiply
    347,056.50x = 703,773 × 703,773
  4. Step 4: Simplify right side
    347,056.50x = 495,296,435,529
  5. Step 5: Solve for x
    x = 495,296,435,529/347,056.50
  6. Step 6: Final answer
    x = 1,427,134.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.